97 citations · 157 across the 11 of their papers we have counts for
11 papers
Recasting Navier-Stokes Equations
M. H. Lakshminarayana Reddy, S. Kokou Dadzie, Raffaella Ocone +2
Classical Navier-Stokes equations fail to describe some flows in both the compressible and incompressible configurations. In this article, we propose a new methodology based on tra…
A fast iterative scheme for the linearized Boltzmann equation
Lei Wu, Jun Zhang, Haihu Liu +2
An iterative scheme can be used to find a steady-state solution to the Boltzmann equation, however, it is very slow to converge in the near-continuum flow regime. In this paper, a…
A molecular dynamics test of the Navier-Stokes-Fourier paradigm for compressible gaseous continua
Howard Brenner, Nishanth Dongari, Jason M. Reese
Knudsen's pioneering experimental and theoretical work performed more than a century ago pointed to the fact that the Navier-Stokes-Fourier (NSF) paradigm is inapplicable to compre…
On the thermodynamics of volume/mass diffusion in fluids
S. Kokou Dadzie, Jason M. Reese
In Physica A vol 387(24) (2008) pp6079-6094 [1], a kinetic equation for gas flows was proposed that leads to a set of four macroscopic conservation equations, rather than the tradi…
Beyond the Knudsen number: assessing thermodynamic non-equilibrium in gas flows
Jianping Meng, Nishanth Dongari, Jason M. Reese +1
For more than 150 years the Navier-Stokes equations for thermodynamically quasi-equilibrium flows have been the cornerstone of modern computational fluid dynamics that underpins ne…
A volume-based hydrodynamic approach to sound wave propagation in a monatomic gas
S. Kokou Dadzie, Jason M. Reese
We investigate sound wave propagation in a monatomic gas using a volume-based hydrodynamic model. In Physica A vol 387(24) (2008) pp6079-6094, a microscopic volume-based kinetic ap…